Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232bm |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
661564140576768 = 213 · 32 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-315072,68164992] |
[a1,a2,a3,a4,a6] |
Generators |
[618:53235:8] |
Generators of the group modulo torsion |
j |
174958262857/33462 |
j-invariant |
L |
8.3824744931797 |
L(r)(E,1)/r! |
Ω |
0.4961334706828 |
Real period |
R |
4.2239009144514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013303 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154bd2 6864n2 |
Quadratic twists by: -4 13 |